Help needed for my L(27,6,4,3) = 85 covering design

Reply #6

stivi19 — Tue, 07 Apr 2020 06:24:20 GMT

The world record is 17 548 so I am looking for a wheel with 17 549 or 17 550 combinations coverage.

Reply #5

lakerben — Tue, 07 Apr 2020 02:48:37 GMT

I used some of these numbers for tonight. Thr rr cash in NM is over 400k.

Reply #4

stivi19 — Mon, 16 Mar 2020 16:24:48 GMT

Nobody interested in the theoretical part of the game...

Reply #3

stivi19 — Sun, 15 Mar 2020 19:49:38 GMT

The UK National Lottery Wheeling Challenge is to find the smallest number of combinations in 6 from 49 that will guarantee at least one 2-match or 3-match. Am I the only person on the planet interested in breaking the current records of 163 combinations for a 3-match and 19 combinations for a 2-match

Reply #2

stivi19 — Wed, 11 Mar 2020 18:05:18 GMT

I will give 1000 $ for any improvement 17 544.

Reply #1

stivi19 — Wed, 11 Mar 2020 17:53:16 GMT

There is a wheel with a coverage of 17 544:

1,6,21,22,24,25

1,10,13,17,23,26

1,2,4,5,19,25

1,7,15,17,20,22

1,2,12,13,16,19

1,2,10,21,22,23

1,10,12,15,17,18

1,7,13,16,18,20

1,3,7,19,20,27

1,3,8,10,17,22

1,7,8,20,23,24

1,5,8,9,21,24

1,2,6,9,11,19

1,3,4,11,21,24

1,10,14,16,17,27

1,7,12,14,20,26

1,2,14,18,19,26

1,15,21,23,24,27

2,8,15,17,19,24

2,3,7,8,22,24

2,3,4,11,17,20

2,7,8,10,21,27

2,15,17,20,23,27

2,7,13,23,24,26

2,3,10... [ More ]

Help needed for my L(27,6,4,3) = 85 covering design

stivi19 — Sun, 08 Mar 2020 12:14:02 GMT

Hi, my name is Stanislav!

I have come up with a set of 85 6-tuples with the numbers from 1 to 27 which have the 3 if 4 guarantee for 17 543 out of 17 550 possible 4-tuples.

Can I please have a suggestion from you how can I improve on that?

Here is the current wheel:

1,3,7,19,20,27

1,2,4,5,19,25

1,7,8,20,23,24

1,15,21,23,24,27

1,10,13,17,23,26

1,5,8,9,21,24

1,2,10,21,22,23

1,7,15,17,20,22

1,2,12,13,16,19

1,6,21,22,24,25

1,7,12,14,20,26

1,3,8,10,17,22